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Corotational Formulation of Reduced Order Homogenization

V. Filonova1, Y. Liu1, M. Bailakanavar1, J. Fish1, Z. Yuan2
Columbia University, New York, NY, U.S.A.
Multiscale Design Systems, Loudonville, NY, U.S.A.

Computers, Materials & Continua 2013, 34(3), 177-198. https://doi.org/10.3970/cmc.2013.034.177

Abstract

A corotational formulation for reduced order homogenization is presented. While in principle the proposed method is valid for problems with arbitrary large strains, it is computational advantageous over the classical direct computational homogenization method for large rotations but moderate unit cell distortions. We validate the method for several large deformation problems including: (i) hat-section composite beam with two-dimensional chopped tow composite architecture, (ii) polyethylene microstructure consisting of 'hard' and 'soft' domains (segments), and (iii) fiber framework called fiberform either embedded or not in an amorphous matrix.

Keywords

Corotational frame, reduced order homogenization, large deformations

Cite This Article

V. . Filonova, Y. . Liu, M. . Bailakanavar, J. . Fish and Z. . Yuan, "Corotational formulation of reduced order homogenization," Computers, Materials & Continua, vol. 34, no.3, pp. 177–198, 2013.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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